Bézier-summation-integral-type operators that include Pólya–Eggenberger distribution
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
We define the summation-integral-type operators involving the ideas of Pólya–Eggenberger
distribution and Bézier basis functions, and study some of their basic approximation properties.
In addition, by means of the Ditzian–Totik modulus of smoothness, we study a direct theorem as
well as a quantitative Voronovskaja-type theorem for our newly constructed operators. Moreover,
we investigate the approximation of functions with derivatives of bounded variation (DBV) of the
aforesaid operators.
Description
Keywords
Stancu operators; Pólya–Eggenberger distribution; Bézier curves; rate of convergence